Pith Number

pith:IAC7RNBT

pith:2021:IAC7RNBT6ROK4C7MDFDEEMULDN

not attested not anchored not stored refs pending

Modular symmetry at level 6 and a new route towards finite modular groups

Cai-Chang Li, Gui-Jun Ding, Xiang-Gan Liu

arxiv:2108.02181 v1 · 2021-08-04 · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IAC7RNBT6ROK4C7MDFDEEMULDN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T03:32:11.959767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4005f8b433f45cae0bec194642328b1b794fe69c28873477d26fbe5c73b7bfeb

Aliases

arxiv: 2108.02181 · arxiv_version: 2108.02181v1 · doi: 10.48550/arxiv.2108.02181 · pith_short_12: IAC7RNBT6ROK · pith_short_16: IAC7RNBT6ROK4C7M · pith_short_8: IAC7RNBT

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/IAC7RNBT6ROK4C7MDFDEEMULDN \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 4005f8b433f45cae0bec194642328b1b794fe69c28873477d26fbe5c73b7bfeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e5fdb5c2b887404f6fe2d56d168b38e7171080a71b191cda81edd2317bad4bf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-08-04T17:14:13Z",
    "title_canon_sha256": "986cbf29b235bfd5cf00a97d7610a6715307e917fe35948c1a8af2efafcbbdd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.02181",
    "kind": "arxiv",
    "version": 1
  }
}